TSTP Solution File: LCL003-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 14:33:59 EDT 2022
% Result : Unsatisfiable 182.25s 182.48s
% Output : Refutation 189.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 83
% Number of leaves : 3
% Syntax : Number of clauses : 131 ( 84 unt; 0 nHn; 131 RR)
% Number of literals : 180 ( 0 equ; 50 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(u)
| ~ is_a_theorem(or__dfg(not__dfg(u),v))
| is_a_theorem(v) ),
file('LCL003-1.p',unknown),
[] ).
cnf(2,axiom,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(x,y)))),or__dfg(not__dfg(or__dfg(not__dfg(x),u)),or__dfg(w,or__dfg(y,u))))),
file('LCL003-1.p',unknown),
[] ).
cnf(3,axiom,
~ is_a_theorem(or__dfg(not__dfg(or__dfg(a,b)),or__dfg(b,a))),
file('LCL003-1.p',unknown),
[] ).
cnf(7,plain,
( ~ is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(x,y))))
| is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(x),u)),or__dfg(w,or__dfg(y,u)))) ),
inference(res,[status(thm),theory(equality)],[2,1]),
[iquote('0:Res:2.0,1.1')] ).
cnf(8,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),or__dfg(not__dfg(v),w))),or__dfg(not__dfg(or__dfg(not__dfg(x),v)),or__dfg(or__dfg(y,v),or__dfg(not__dfg(v),w))))),
inference(sor,[status(thm)],[7,2]),
[iquote('0:SoR:7.0,2.0')] ).
cnf(9,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(u,v)),w)),or__dfg(not__dfg(or__dfg(not__dfg(x),v)),or__dfg(or__dfg(not__dfg(v),y),w)))),
inference(sor,[status(thm)],[7,8]),
[iquote('0:SoR:7.0,8.0')] ).
cnf(11,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,u))),or__dfg(not__dfg(or__dfg(not__dfg(x),u)),or__dfg(y,or__dfg(w,u))))),
inference(sor,[status(thm)],[7,9]),
[iquote('0:SoR:7.0,9.0')] ).
cnf(12,plain,
( ~ is_a_theorem(or__dfg(not__dfg(or__dfg(u,v)),w))
| is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(x),v)),or__dfg(or__dfg(not__dfg(v),y),w))) ),
inference(res,[status(thm),theory(equality)],[9,1]),
[iquote('0:Res:9.0,1.1')] ).
cnf(15,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),or__dfg(v,or__dfg(w,x)))),or__dfg(or__dfg(not__dfg(or__dfg(v,or__dfg(w,x))),y),or__dfg(not__dfg(or__dfg(not__dfg(w),z)),or__dfg(v,or__dfg(x,z)))))),
inference(sor,[status(thm)],[12,2]),
[iquote('0:SoR:12.0,2.0')] ).
cnf(18,plain,
( ~ is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,u)))
| is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(x),u)),or__dfg(y,or__dfg(w,u)))) ),
inference(res,[status(thm),theory(equality)],[11,1]),
[iquote('0:Res:11.0,1.1')] ).
cnf(19,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),or__dfg(or__dfg(not__dfg(v),w),v))),or__dfg(x,or__dfg(not__dfg(or__dfg(not__dfg(y),v)),or__dfg(or__dfg(not__dfg(v),w),v))))),
inference(sor,[status(thm)],[18,9]),
[iquote('0:SoR:18.0,9.0')] ).
cnf(22,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),or__dfg(not__dfg(v),or__dfg(w,v)))),or__dfg(x,or__dfg(not__dfg(or__dfg(not__dfg(y),v)),or__dfg(not__dfg(v),or__dfg(w,v)))))),
inference(sor,[status(thm)],[18,2]),
[iquote('0:SoR:18.0,2.0')] ).
cnf(85,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(u),v))),w)),or__dfg(x,or__dfg(or__dfg(not__dfg(v),or__dfg(y,v)),w)))),
inference(sor,[status(thm)],[7,22]),
[iquote('0:SoR:7.0,22.0')] ).
cnf(92,plain,
( ~ is_a_theorem(or__dfg(not__dfg(u),or__dfg(not__dfg(v),or__dfg(w,v))))
| is_a_theorem(or__dfg(x,or__dfg(not__dfg(or__dfg(not__dfg(y),v)),or__dfg(not__dfg(v),or__dfg(w,v))))) ),
inference(res,[status(thm),theory(equality)],[22,1]),
[iquote('0:Res:22.0,1.1')] ).
cnf(99,plain,
( ~ is_a_theorem(or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(u),v))),w))
| is_a_theorem(or__dfg(x,or__dfg(or__dfg(not__dfg(v),or__dfg(y,v)),w))) ),
inference(res,[status(thm),theory(equality)],[85,1]),
[iquote('0:Res:85.0,1.1')] ).
cnf(408,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(u),v))),w)),or__dfg(or__dfg(not__dfg(or__dfg(x,or__dfg(u,y))),z),or__dfg(or__dfg(x,or__dfg(y,v)),w)))),
inference(sor,[status(thm)],[7,15]),
[iquote('0:SoR:7.0,15.0')] ).
cnf(598,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(u),v))),w)),or__dfg(x,or__dfg(or__dfg(or__dfg(not__dfg(v),y),v),w)))),
inference(sor,[status(thm)],[7,19]),
[iquote('0:SoR:7.0,19.0')] ).
cnf(932,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(u,or__dfg(v,w))),not__dfg(or__dfg(not__dfg(x),w)))),or__dfg(or__dfg(not__dfg(or__dfg(u,or__dfg(x,v))),y),or__dfg(z,not__dfg(or__dfg(not__dfg(x),w)))))),
inference(sor,[status(thm)],[7,408]),
[iquote('0:SoR:7.0,408.0')] ).
cnf(1317,plain,
is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(or__dfg(or__dfg(not__dfg(x),y),x),w))))),
inference(sor,[status(thm)],[92,598]),
[iquote('0:SoR:92.0,598.0')] ).
cnf(1321,plain,
is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(or__dfg(not__dfg(x),or__dfg(y,x)),w))))),
inference(sor,[status(thm)],[92,85]),
[iquote('0:SoR:92.0,85.0')] ).
cnf(1365,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(or__dfg(not__dfg(x),or__dfg(y,x)),w)))) ),
inference(res,[status(thm),theory(equality)],[1321,1]),
[iquote('0:Res:1321.0,1.1')] ).
cnf(1426,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(v),or__dfg(or__dfg(not__dfg(w),or__dfg(x,w)),v)))),
inference(ems,[status(thm)],[1365,1317]),
[iquote('0:EmS:1365.0,1317.0')] ).
cnf(1514,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(not__dfg(u),or__dfg(v,u))),w)),or__dfg(not__dfg(x),or__dfg(x,w)))),
inference(sor,[status(thm)],[7,1426]),
[iquote('0:SoR:7.0,1426.0')] ).
cnf(1565,plain,
is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(w,w))))),
inference(sor,[status(thm)],[92,1514]),
[iquote('0:SoR:92.0,1514.0')] ).
cnf(1628,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(w,w)))) ),
inference(res,[status(thm),theory(equality)],[1565,1]),
[iquote('0:Res:1565.0,1.1')] ).
cnf(1629,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(v),or__dfg(v,v)))),
inference(ems,[status(thm)],[1628,1565]),
[iquote('0:EmS:1628.0,1565.0')] ).
cnf(1722,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(u),or__dfg(u,v)))),
inference(sor,[status(thm)],[7,1629]),
[iquote('0:SoR:7.0,1629.0')] ).
cnf(1749,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),u)),or__dfg(not__dfg(u),or__dfg(v,u)))),
inference(sor,[status(thm)],[7,1722]),
[iquote('0:SoR:7.0,1722.0')] ).
cnf(1892,plain,
is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(x,w))))),
inference(sor,[status(thm)],[92,1749]),
[iquote('0:SoR:92.0,1749.0')] ).
cnf(2066,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(not__dfg(w),or__dfg(x,w)))) ),
inference(res,[status(thm),theory(equality)],[1892,1]),
[iquote('0:Res:1892.0,1.1')] ).
cnf(2067,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(v),or__dfg(w,v)))),
inference(ems,[status(thm)],[2066,1892]),
[iquote('0:EmS:2066.0,1892.0')] ).
cnf(2161,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(w),or__dfg(w,v)))),
inference(sor,[status(thm)],[7,2067]),
[iquote('0:SoR:7.0,2067.0')] ).
cnf(2162,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),or__dfg(v,w))),or__dfg(x,or__dfg(not__dfg(w),or__dfg(v,w))))),
inference(sor,[status(thm)],[18,2067]),
[iquote('0:SoR:18.0,2067.0')] ).
cnf(2212,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(u),or__dfg(w,v)))),
inference(sor,[status(thm)],[7,2161]),
[iquote('0:SoR:7.0,2161.0')] ).
cnf(2239,plain,
( ~ is_a_theorem(or__dfg(not__dfg(u),v))
| is_a_theorem(or__dfg(not__dfg(w),or__dfg(w,v))) ),
inference(res,[status(thm),theory(equality)],[2161,1]),
[iquote('0:Res:2161.0,1.1')] ).
cnf(2330,plain,
( ~ is_a_theorem(or__dfg(not__dfg(u),v))
| is_a_theorem(or__dfg(not__dfg(u),or__dfg(w,v))) ),
inference(res,[status(thm),theory(equality)],[2212,1]),
[iquote('0:Res:2212.0,1.1')] ).
cnf(2488,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(not__dfg(u),or__dfg(x,v))))),
inference(sor,[status(thm)],[2330,2212]),
[iquote('0:SoR:2330.0,2212.0')] ).
cnf(2489,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(not__dfg(x),or__dfg(x,v))))),
inference(sor,[status(thm)],[2330,2161]),
[iquote('0:SoR:2330.0,2161.0')] ).
cnf(2491,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(not__dfg(v),or__dfg(x,v))))),
inference(sor,[status(thm)],[2330,2067]),
[iquote('0:SoR:2330.0,2067.0')] ).
cnf(3023,plain,
( ~ is_a_theorem(or__dfg(not__dfg(u),v))
| is_a_theorem(or__dfg(w,or__dfg(not__dfg(u),or__dfg(x,v)))) ),
inference(res,[status(thm),theory(equality)],[2488,1]),
[iquote('0:Res:2488.0,1.1')] ).
cnf(3024,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(u)),v)),or__dfg(w,or__dfg(or__dfg(u,x),v)))),
inference(sor,[status(thm)],[7,2489]),
[iquote('0:SoR:7.0,2489.0')] ).
cnf(3080,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(u)),v)),or__dfg(w,or__dfg(or__dfg(x,u),v)))),
inference(sor,[status(thm)],[7,2491]),
[iquote('0:SoR:7.0,2491.0')] ).
cnf(3398,plain,
( ~ is_a_theorem(or__dfg(not__dfg(not__dfg(u)),v))
| is_a_theorem(or__dfg(w,or__dfg(or__dfg(u,x),v))) ),
inference(res,[status(thm),theory(equality)],[3024,1]),
[iquote('0:Res:3024.0,1.1')] ).
cnf(3544,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(u,v)),not__dfg(v))),or__dfg(w,or__dfg(x,not__dfg(v))))),
inference(sor,[status(thm)],[7,3080]),
[iquote('0:SoR:7.0,3080.0')] ).
cnf(3575,plain,
( ~ is_a_theorem(or__dfg(not__dfg(not__dfg(u)),v))
| is_a_theorem(or__dfg(w,or__dfg(or__dfg(x,u),v))) ),
inference(res,[status(thm),theory(equality)],[3080,1]),
[iquote('0:Res:3080.0,1.1')] ).
cnf(6538,plain,
( ~ is_a_theorem(or__dfg(not__dfg(u),or__dfg(v,w)))
| is_a_theorem(or__dfg(x,or__dfg(not__dfg(w),or__dfg(v,w)))) ),
inference(res,[status(thm),theory(equality)],[2162,1]),
[iquote('0:Res:2162.0,1.1')] ).
cnf(7902,plain,
is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(v,not__dfg(w))),or__dfg(x,or__dfg(v,not__dfg(w)))))),
inference(sor,[status(thm)],[6538,3544]),
[iquote('0:SoR:6538.0,3544.0')] ).
cnf(8098,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(not__dfg(or__dfg(v,not__dfg(w))),or__dfg(x,or__dfg(v,not__dfg(w))))) ),
inference(res,[status(thm),theory(equality)],[7902,1]),
[iquote('0:Res:7902.0,1.1')] ).
cnf(8784,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(u,not__dfg(v))),or__dfg(w,or__dfg(u,not__dfg(v))))),
inference(ems,[status(thm)],[8098,932]),
[iquote('0:EmS:8098.0,932.0')] ).
cnf(8925,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(u)),u)),or__dfg(v,or__dfg(not__dfg(w),u)))),
inference(sor,[status(thm)],[7,8784]),
[iquote('0:SoR:7.0,8784.0')] ).
cnf(9020,plain,
is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(x,or__dfg(not__dfg(v),w))))),
inference(sor,[status(thm)],[6538,8925]),
[iquote('0:SoR:6538.0,8925.0')] ).
cnf(9618,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(v),w)),or__dfg(x,or__dfg(not__dfg(v),w)))) ),
inference(res,[status(thm),theory(equality)],[9020,1]),
[iquote('0:Res:9020.0,1.1')] ).
cnf(10057,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(not__dfg(u),v)))),
inference(ems,[status(thm)],[9618,9020]),
[iquote('0:EmS:9618.0,9020.0')] ).
cnf(10210,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(not__dfg(u)),u)),or__dfg(v,or__dfg(w,u)))),
inference(sor,[status(thm)],[7,10057]),
[iquote('0:SoR:7.0,10057.0')] ).
cnf(10333,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),not__dfg(v))),or__dfg(w,or__dfg(v,not__dfg(v))))),
inference(sor,[status(thm)],[7,10210]),
[iquote('0:SoR:7.0,10210.0')] ).
cnf(10358,plain,
is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(v,w)),or__dfg(x,or__dfg(v,w))))),
inference(sor,[status(thm)],[6538,10210]),
[iquote('0:SoR:6538.0,10210.0')] ).
cnf(10726,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(not__dfg(or__dfg(v,w)),or__dfg(x,or__dfg(v,w)))) ),
inference(res,[status(thm),theory(equality)],[10358,1]),
[iquote('0:Res:10358.0,1.1')] ).
cnf(10896,plain,
( ~ is_a_theorem(or__dfg(not__dfg(u),not__dfg(v)))
| is_a_theorem(or__dfg(w,or__dfg(v,not__dfg(v)))) ),
inference(res,[status(thm),theory(equality)],[10333,1]),
[iquote('0:Res:10333.0,1.1')] ).
cnf(10932,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(u,v)),or__dfg(w,or__dfg(u,v)))),
inference(ems,[status(thm)],[10726,10358]),
[iquote('0:EmS:10726.0,10358.0')] ).
cnf(11039,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(u,v)),or__dfg(w,or__dfg(x,or__dfg(u,v))))),
inference(sor,[status(thm)],[2330,10932]),
[iquote('0:SoR:2330.0,10932.0')] ).
cnf(11147,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(or__dfg(not__dfg(v),x),v)))),
inference(sor,[status(thm)],[7,11039]),
[iquote('0:SoR:7.0,11039.0')] ).
cnf(11532,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),w)),or__dfg(x,or__dfg(u,w)))),
inference(sor,[status(thm)],[7,11147]),
[iquote('0:SoR:7.0,11147.0')] ).
cnf(11565,plain,
( ~ is_a_theorem(or__dfg(not__dfg(u),v))
| is_a_theorem(or__dfg(w,or__dfg(or__dfg(not__dfg(v),x),v))) ),
inference(res,[status(thm),theory(equality)],[11147,1]),
[iquote('0:Res:11147.0,1.1')] ).
cnf(11610,plain,
( ~ is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),w))
| is_a_theorem(or__dfg(x,or__dfg(u,w))) ),
inference(res,[status(thm),theory(equality)],[11532,1]),
[iquote('0:Res:11532.0,1.1')] ).
cnf(11735,plain,
is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(w,or__dfg(not__dfg(v),x))))),
inference(sor,[status(thm)],[11610,10932]),
[iquote('0:SoR:11610.0,10932.0')] ).
cnf(11742,plain,
is_a_theorem(or__dfg(u,or__dfg(not__dfg(v),or__dfg(w,or__dfg(x,v))))),
inference(sor,[status(thm)],[11610,10210]),
[iquote('0:SoR:11610.0,10210.0')] ).
cnf(11754,plain,
is_a_theorem(or__dfg(u,or__dfg(or__dfg(not__dfg(v),w),or__dfg(x,or__dfg(v,y))))),
inference(sor,[status(thm)],[11610,11532]),
[iquote('0:SoR:11610.0,11532.0')] ).
cnf(11783,plain,
is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(not__dfg(w),or__dfg(x,w))))),
inference(sor,[status(thm)],[11610,2067]),
[iquote('0:SoR:11610.0,2067.0')] ).
cnf(11861,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(v,or__dfg(w,or__dfg(not__dfg(v),x)))) ),
inference(res,[status(thm),theory(equality)],[11735,1]),
[iquote('0:Res:11735.0,1.1')] ).
cnf(11950,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(w),or__dfg(or__dfg(x,w),v)))),
inference(sor,[status(thm)],[7,11742]),
[iquote('0:SoR:7.0,11742.0')] ).
cnf(12192,plain,
is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(not__dfg(u),w)))),
inference(ems,[status(thm)],[11861,11783]),
[iquote('0:EmS:11861.0,11783.0')] ).
cnf(12323,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(v,or__dfg(not__dfg(not__dfg(u)),w))) ),
inference(res,[status(thm),theory(equality)],[12192,1]),
[iquote('0:Res:12192.0,1.1')] ).
cnf(12373,plain,
( ~ is_a_theorem(u)
| ~ is_a_theorem(v)
| is_a_theorem(or__dfg(not__dfg(not__dfg(u)),w)) ),
inference(res,[status(thm),theory(equality)],[12323,1]),
[iquote('0:Res:12323.1,1.1')] ).
cnf(12374,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(not__dfg(not__dfg(u)),v)) ),
inference(con,[status(thm)],[12373]),
[iquote('0:Con:12373.1')] ).
cnf(12375,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(v,or__dfg(or__dfg(not__dfg(w),x),w))) ),
inference(sor,[status(thm)],[11565,12374]),
[iquote('0:SoR:11565.0,12374.1')] ).
cnf(12381,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(not__dfg(v),or__dfg(v,w))) ),
inference(sor,[status(thm)],[2239,12374]),
[iquote('0:SoR:2239.0,12374.1')] ).
cnf(12392,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(v,or__dfg(w,not__dfg(w)))) ),
inference(sor,[status(thm)],[10896,12374]),
[iquote('0:SoR:10896.0,12374.1')] ).
cnf(12516,plain,
is_a_theorem(or__dfg(not__dfg(u),or__dfg(u,v))),
inference(ems,[status(thm)],[12381,12192]),
[iquote('0:EmS:12381.0,12192.0')] ).
cnf(12621,plain,
is_a_theorem(or__dfg(not__dfg(u),or__dfg(v,or__dfg(u,w)))),
inference(sor,[status(thm)],[2330,12516]),
[iquote('0:SoR:2330.0,12516.0')] ).
cnf(12690,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),u)),or__dfg(w,or__dfg(x,u)))),
inference(sor,[status(thm)],[7,12621]),
[iquote('0:SoR:7.0,12621.0')] ).
cnf(12926,plain,
is_a_theorem(or__dfg(u,or__dfg(v,not__dfg(v)))),
inference(ems,[status(thm)],[12392,12192]),
[iquote('0:EmS:12392.0,12192.0')] ).
cnf(13070,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(v,not__dfg(v))) ),
inference(res,[status(thm),theory(equality)],[12926,1]),
[iquote('0:Res:12926.0,1.1')] ).
cnf(13073,plain,
is_a_theorem(or__dfg(u,not__dfg(u))),
inference(ems,[status(thm)],[13070,12926]),
[iquote('0:EmS:13070.0,12926.0')] ).
cnf(13163,plain,
is_a_theorem(or__dfg(u,or__dfg(v,not__dfg(not__dfg(or__dfg(not__dfg(v),w)))))),
inference(sor,[status(thm)],[11610,13073]),
[iquote('0:SoR:11610.0,13073.0')] ).
cnf(13172,plain,
is_a_theorem(or__dfg(u,or__dfg(not__dfg(v),or__dfg(w,not__dfg(not__dfg(v)))))),
inference(sor,[status(thm)],[3023,13073]),
[iquote('0:SoR:3023.0,13073.0')] ).
cnf(13181,plain,
is_a_theorem(or__dfg(u,or__dfg(or__dfg(v,w),not__dfg(not__dfg(not__dfg(w)))))),
inference(sor,[status(thm)],[3575,13073]),
[iquote('0:SoR:3575.0,13073.0')] ).
cnf(13182,plain,
is_a_theorem(or__dfg(u,or__dfg(or__dfg(v,w),not__dfg(not__dfg(not__dfg(v)))))),
inference(sor,[status(thm)],[3398,13073]),
[iquote('0:SoR:3398.0,13073.0')] ).
cnf(13364,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(v,not__dfg(not__dfg(or__dfg(not__dfg(v),w))))) ),
inference(res,[status(thm),theory(equality)],[13163,1]),
[iquote('0:Res:13163.0,1.1')] ).
cnf(13365,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(w),or__dfg(not__dfg(not__dfg(w)),v)))),
inference(sor,[status(thm)],[7,13172]),
[iquote('0:SoR:7.0,13172.0')] ).
cnf(13424,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(or__dfg(v,w),not__dfg(not__dfg(not__dfg(w))))) ),
inference(res,[status(thm),theory(equality)],[13181,1]),
[iquote('0:Res:13181.0,1.1')] ).
cnf(13453,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(or__dfg(v,w),not__dfg(not__dfg(not__dfg(v))))) ),
inference(res,[status(thm),theory(equality)],[13182,1]),
[iquote('0:Res:13182.0,1.1')] ).
cnf(14124,plain,
is_a_theorem(or__dfg(u,not__dfg(not__dfg(or__dfg(not__dfg(u),v))))),
inference(ems,[status(thm)],[13364,13073]),
[iquote('0:EmS:13364.0,13073.0')] ).
cnf(14264,plain,
is_a_theorem(or__dfg(or__dfg(u,v),not__dfg(not__dfg(not__dfg(v))))),
inference(ems,[status(thm)],[13424,14124]),
[iquote('0:EmS:13424.0,14124.0')] ).
cnf(14381,plain,
is_a_theorem(or__dfg(or__dfg(u,v),not__dfg(not__dfg(not__dfg(u))))),
inference(ems,[status(thm)],[13453,14264]),
[iquote('0:EmS:13453.0,14264.0')] ).
cnf(15125,plain,
is_a_theorem(or__dfg(u,or__dfg(or__dfg(not__dfg(v),w),v))),
inference(ems,[status(thm)],[12375,14381]),
[iquote('0:EmS:12375.0,14381.0')] ).
cnf(15270,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(or__dfg(not__dfg(v),w),v)) ),
inference(res,[status(thm),theory(equality)],[15125,1]),
[iquote('0:Res:15125.0,1.1')] ).
cnf(15273,plain,
is_a_theorem(or__dfg(or__dfg(not__dfg(u),v),u)),
inference(ems,[status(thm)],[15270,14381]),
[iquote('0:EmS:15270.0,14381.0')] ).
cnf(17326,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(or__dfg(not__dfg(v),w),or__dfg(x,or__dfg(v,y)))) ),
inference(res,[status(thm),theory(equality)],[11754,1]),
[iquote('0:Res:11754.0,1.1')] ).
cnf(19122,plain,
is_a_theorem(or__dfg(or__dfg(not__dfg(u),v),or__dfg(w,or__dfg(u,x)))),
inference(ems,[status(thm)],[17326,15273]),
[iquote('0:EmS:17326.0,15273.0')] ).
cnf(20937,plain,
is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(not__dfg(w),or__dfg(not__dfg(not__dfg(w)),x))))),
inference(sor,[status(thm)],[11610,13365]),
[iquote('0:SoR:11610.0,13365.0')] ).
cnf(20990,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(v,or__dfg(not__dfg(w),or__dfg(not__dfg(not__dfg(w)),x)))) ),
inference(res,[status(thm),theory(equality)],[20937,1]),
[iquote('0:Res:20937.0,1.1')] ).
cnf(20994,plain,
is_a_theorem(or__dfg(u,or__dfg(not__dfg(v),or__dfg(not__dfg(not__dfg(v)),w)))),
inference(ems,[status(thm)],[20990,19122]),
[iquote('0:EmS:20990.0,19122.0')] ).
cnf(21217,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(not__dfg(v),or__dfg(not__dfg(not__dfg(v)),w))) ),
inference(res,[status(thm),theory(equality)],[20994,1]),
[iquote('0:Res:20994.0,1.1')] ).
cnf(21288,plain,
is_a_theorem(or__dfg(not__dfg(u),or__dfg(not__dfg(not__dfg(u)),v))),
inference(ems,[status(thm)],[21217,19122]),
[iquote('0:EmS:21217.0,19122.0')] ).
cnf(21479,plain,
is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(v),w))),x)))),
inference(sor,[status(thm)],[11610,21288]),
[iquote('0:SoR:11610.0,21288.0')] ).
cnf(21550,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(v,or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(v),w))),x))) ),
inference(res,[status(thm),theory(equality)],[21479,1]),
[iquote('0:Res:21479.0,1.1')] ).
cnf(21754,plain,
is_a_theorem(or__dfg(u,or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(u),v))),w))),
inference(ems,[status(thm)],[21550,19122]),
[iquote('0:EmS:21550.0,19122.0')] ).
cnf(21980,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(not__dfg(not__dfg(or__dfg(not__dfg(not__dfg(u)),v))),w)) ),
inference(res,[status(thm),theory(equality)],[21754,1]),
[iquote('0:Res:21754.0,1.1')] ).
cnf(21988,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(v,or__dfg(or__dfg(not__dfg(w),or__dfg(x,w)),y))) ),
inference(sor,[status(thm)],[99,21980]),
[iquote('0:SoR:99.0,21980.1')] ).
cnf(22995,plain,
is_a_theorem(or__dfg(u,or__dfg(or__dfg(not__dfg(v),or__dfg(w,v)),x))),
inference(ems,[status(thm)],[21988,19122]),
[iquote('0:EmS:21988.0,19122.0')] ).
cnf(23224,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(or__dfg(not__dfg(v),or__dfg(w,v)),x)) ),
inference(res,[status(thm),theory(equality)],[22995,1]),
[iquote('0:Res:22995.0,1.1')] ).
cnf(23228,plain,
is_a_theorem(or__dfg(or__dfg(not__dfg(u),or__dfg(v,u)),w)),
inference(ems,[status(thm)],[23224,19122]),
[iquote('0:EmS:23224.0,19122.0')] ).
cnf(26236,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(or__dfg(u,v)),w)),or__dfg(not__dfg(v),or__dfg(x,w)))),
inference(sor,[status(thm)],[7,11950]),
[iquote('0:SoR:7.0,11950.0')] ).
cnf(29336,plain,
( ~ is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),u))
| is_a_theorem(or__dfg(w,or__dfg(x,u))) ),
inference(res,[status(thm),theory(equality)],[12690,1]),
[iquote('0:Res:12690.0,1.1')] ).
cnf(35033,plain,
is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(not__dfg(or__dfg(w,x)),or__dfg(w,x))))),
inference(sor,[status(thm)],[29336,26236]),
[iquote('0:SoR:29336.0,26236.0')] ).
cnf(37462,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(v,or__dfg(not__dfg(or__dfg(w,x)),or__dfg(w,x)))) ),
inference(res,[status(thm),theory(equality)],[35033,1]),
[iquote('0:Res:35033.0,1.1')] ).
cnf(37793,plain,
is_a_theorem(or__dfg(u,or__dfg(not__dfg(or__dfg(v,w)),or__dfg(v,w)))),
inference(ems,[status(thm)],[37462,23228]),
[iquote('0:EmS:37462.0,23228.0')] ).
cnf(38253,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(not__dfg(or__dfg(u,w)),or__dfg(w,v)))),
inference(sor,[status(thm)],[7,37793]),
[iquote('0:SoR:7.0,37793.0')] ).
cnf(38289,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(not__dfg(or__dfg(v,w)),or__dfg(v,w))) ),
inference(res,[status(thm),theory(equality)],[37793,1]),
[iquote('0:Res:37793.0,1.1')] ).
cnf(38297,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(u,v)),or__dfg(u,v))),
inference(ems,[status(thm)],[38289,23228]),
[iquote('0:EmS:38289.0,23228.0')] ).
cnf(38625,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(not__dfg(u),v)),or__dfg(w,or__dfg(not__dfg(v),v)))),
inference(sor,[status(thm)],[18,38297]),
[iquote('0:SoR:18.0,38297.0')] ).
cnf(38661,plain,
is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(w,or__dfg(not__dfg(x),x))))),
inference(sor,[status(thm)],[11610,38625]),
[iquote('0:SoR:11610.0,38625.0')] ).
cnf(38878,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(v,or__dfg(w,or__dfg(not__dfg(x),x)))) ),
inference(res,[status(thm),theory(equality)],[38661,1]),
[iquote('0:Res:38661.0,1.1')] ).
cnf(38886,plain,
is_a_theorem(or__dfg(u,or__dfg(v,or__dfg(not__dfg(w),w)))),
inference(ems,[status(thm)],[38878,23228]),
[iquote('0:EmS:38878.0,23228.0')] ).
cnf(39253,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(v,or__dfg(not__dfg(w),w))) ),
inference(res,[status(thm),theory(equality)],[38886,1]),
[iquote('0:Res:38886.0,1.1')] ).
cnf(39261,plain,
is_a_theorem(or__dfg(u,or__dfg(not__dfg(v),v))),
inference(ems,[status(thm)],[39253,23228]),
[iquote('0:EmS:39253.0,23228.0')] ).
cnf(39662,plain,
( ~ is_a_theorem(u)
| is_a_theorem(or__dfg(not__dfg(v),v)) ),
inference(res,[status(thm),theory(equality)],[39261,1]),
[iquote('0:Res:39261.0,1.1')] ).
cnf(39670,plain,
is_a_theorem(or__dfg(not__dfg(u),u)),
inference(ems,[status(thm)],[39662,23228]),
[iquote('0:EmS:39662.0,23228.0')] ).
cnf(97868,plain,
( ~ is_a_theorem(or__dfg(not__dfg(u),v))
| is_a_theorem(or__dfg(not__dfg(or__dfg(u,w)),or__dfg(w,v))) ),
inference(res,[status(thm),theory(equality)],[38253,1]),
[iquote('0:Res:38253.0,1.1')] ).
cnf(186765,plain,
is_a_theorem(or__dfg(not__dfg(or__dfg(u,v)),or__dfg(v,u))),
inference(sor,[status(thm)],[97868,39670]),
[iquote('0:SoR:97868.0,39670.0')] ).
cnf(186768,plain,
$false,
inference(unc,[status(thm)],[186765,3]),
[iquote('0:UnC:186765.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 02:29:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 182.25/182.48
% 182.25/182.48 SPASS V 3.9
% 182.25/182.48 SPASS beiseite: Proof found.
% 182.25/182.48 % SZS status Theorem
% 182.25/182.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 182.25/182.48 SPASS derived 186480 clauses, backtracked 0 clauses, performed 0 splits and kept 14849 clauses.
% 182.25/182.48 SPASS allocated 238667 KBytes.
% 182.25/182.48 SPASS spent 0:03:01.96 on the problem.
% 182.25/182.48 0:00:00.03 for the input.
% 182.25/182.48 0:00:00.00 for the FLOTTER CNF translation.
% 182.25/182.48 0:00:04.14 for inferences.
% 182.25/182.48 0:00:00.00 for the backtracking.
% 182.25/182.48 0:2:57.08 for the reduction.
% 182.25/182.48
% 182.25/182.48
% 182.25/182.48 Here is a proof with depth 81, length 131 :
% 182.25/182.48 % SZS output start Refutation
% See solution above
% 189.75/189.97 Formulae used in the proof : condensed_detachment an_CAMerideth an_2
% 189.75/189.97
%------------------------------------------------------------------------------